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Finding the Fourth Proportional to 473,078.40, 709,828.20 and 248,384.40

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Solution

The fourth proportional to 473,078.40, 709,828.20 and 248,384.40 is: 372,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,078.40 : 709,828.20 = 248,384.40 : x
  2. Step 2: Convert to fraction form
    473,078.40/709,828.20 = 248,384.40/x
  3. Step 3: Cross multiply
    473,078.40x = 709,828.20 × 248,384.40
  4. Step 4: Simplify right side
    473,078.40x = 176,310,251,560.08
  5. Step 5: Solve for x
    x = 176,310,251,560.08/473,078.40
  6. Step 6: Final answer
    x = 372,687.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.